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Fractional sub-equation method for the fractional generalized reaction Duffing model and nonlinear fractional Sharma-Tasso-Olver equation

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Central European Journal of Physics

Abstract

In this paper the fractional sub-equation method is used to construct exact solutions of the fractional generalized reaction Duffing model and nonlinear fractional Sharma-Tasso-Olver equation.The fractional derivative is described in the Jumarie’s modified Riemann-Liouville sense. Two illustrative examples are given, showing the accuracy and convenience of the method.

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Authors and Affiliations

  1. Department of Mathematics, University of Mazandaran, P.O. Box 47416-95797, Babolsar, Iran

    Hossein Jafari & Haleh Tajadodi

  2. Department of Mathematics and Computer Sciences, Çankaya University, Faculty of Art and Sciences, Ankara, Turkey

    Dumitru Baleanu

  3. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box: 80204, Jeddah, 21589, Saudi Arabia

    Dumitru Baleanu, Abdulrahim A. Al-Zahrani, Yahia A. Alhamed & Adnan H. Zahid

  4. Institute of Space Sciences, P.O. Box, MG-23, R 76900, Magurele-Bucharest, Romania

    Dumitru Baleanu

Authors
  1. Hossein Jafari
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  2. Haleh Tajadodi
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  3. Dumitru Baleanu
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  4. Abdulrahim A. Al-Zahrani
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  5. Yahia A. Alhamed
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  6. Adnan H. Zahid
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Correspondence to Hossein Jafari.

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Jafari, H., Tajadodi, H., Baleanu, D. et al. Fractional sub-equation method for the fractional generalized reaction Duffing model and nonlinear fractional Sharma-Tasso-Olver equation. centr.eur.j.phys. 11, 1482–1486 (2013). https://doi.org/10.2478/s11534-013-0203-7

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  • DOI: https://doi.org/10.2478/s11534-013-0203-7

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